CAT 2023 QA Solutions CAT 2023 QA Questions and Solutions Question 1 If \( n \) is the least positive integer such that \( 168 \) is a factor of \( 1134^n \), and \( m \) is the least positive integer such that \( 1134^m \) is a factor of \( 168^n \), then … Read more
There are only three female students – Amala, Koli and Rini – and only three malestudents – Biman, Mathew and Shyamal – in a course. The course has two evaluationcomponents, a project and a test. The aggregate score in the course is a weightedaverage of the two components, with the weights being positive and adding … Read more
A, B, C, D, E and F are the six police stations in an area, which are connected by streets asshown below. Four teams – Team 1, Team 2, Team 3 and Team 4 –patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.The teams need 30 minutes to cross a street connecting … Read more
In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees.Then, the number of diagonals of this polygon is
Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee withsugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio2 : 3 to make a new mixture C. If he mixes C with an equal amount of milk … Read more
1 Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days tofinish a job. On the other hand, Rahul and Gurmeet, working together would havetaken less than 15 days to finish the job. However, they all worked together for 6 days,followed by Rakshita, who worked alone for 3 more days to finish … Read more
A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length ofcloth free for every 100 cm length of cloth purchased by him. He sells the same clothat a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of clothfor every 100 cm length … Read more
The sum of the first two natural numbers, each having 15 factors (including 1 andthe number itself), is
The weight of society’s expectations is hardly a new phenomenon but it has becomeparticularly draining over recent decades, perhaps because expectations themselvesare so multifarious and contradictory. The perfectionism of the 1950s was rooted in thenorms of mass culture and captured in famous advertising images of the ideal whiteAmerican family that now seem self-satirising. In that … Read more
Comprehension:The passage below is accompanied by four questions. Based on the passage, choose thebest answer for each question.The biggest challenge [The Nutmeg’s Curse by Ghosh] throws down is to the prevailingunderstanding of when the climate crisis started. Most of us have accepted . . . that it startedwith the widespread use of coal at the … Read more
Comprehension:The passage below is accompanied by four questions. Based on the passage, choose thebest answer for each question.Steven Pinker’s new book, “Rationality: What It Is, Why It Seems Scarce, Why It Matters,”offers a pragmatic dose of measured optimism, presenting rationality as a fragile butachievable ideal in personal and civic life. . . . Pinker’s ambition … Read more
An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city. It isevaluating sales performances of these dealers. The company sells two variants of ACs –Window and Split. Both these variants can be either Inverter type or Non-inverter type. It isknown that of the total number of ACs sold … Read more
Comprehension:The passage below is accompanied by four questions. Based on the passage, choose thebest answer for each question.In 2006, the Met [art museum in the US] agreed to return the Euphronios krater, amasterpiece Greek urn that had been a museum draw since 1972. In 2007, the Getty [artmuseum in the US] agreed to return 40 … Read more